Effects of fractional derivatives in epidemic models
Optimization and Control
2021-07-08 v1
Abstract
We study epidemic Susceptible-Infected-Susceptible models in the fractional setting. The novelty is to consider models in which the susceptible and infected populations evolve according to different fractional orders. We study a model based on Caputo derivative, for which we establish existence results of the solutions. Also, we investigate a model based on Caputo-Fabrizio operator, for which we provide existence of solutions and a study of the equilibria. Numerical simulations for both models and a direct numerical comparison are also provided.
Keywords
Cite
@article{arxiv.2107.02877,
title = {Effects of fractional derivatives in epidemic models},
author = {Caterina Balzotti and Mirko D'Ovidio and Anna Chiara Lai and Paola Loreti},
journal= {arXiv preprint arXiv:2107.02877},
year = {2021}
}